57242799360 has 288 divisors, whose sum is σ = 204277032960. Its totient is φ = 15178752000.

The previous prime is 57242799343. The next prime is 57242799391. The reversal of 57242799360 is 6399724275.

57242799360 is a `hidden beast` number, since 5 + 7 + 2 + 4 + 279 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 57242799297 and 57242799306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6250785 + ... + 6259935.

Almost surely, 2^57242799360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57242799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102138516480).

57242799360 is an abundant number, since it is smaller than the sum of its proper divisors (147034233600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57242799360 is a wasteful number, since it uses less digits than its factorization.

57242799360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9362 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 57242799360 in words is "fifty-seven billion, two hundred forty-two million, seven hundred ninety-nine thousand, three hundred sixty".